A note on time-symmetric hypersurfaces in the Schwarzschild geometry
General Relativity and Quantum Cosmology
2010-11-13 v2
Abstract
In this note we show that any inextensible time-symmetric space-like hypersurface of differentiability class , isometrically embedded in the maximal Schwarzschild geometry must intersect the bifurcation sphere.
Keywords
Cite
@article{arxiv.1008.3841,
title = {A note on time-symmetric hypersurfaces in the Schwarzschild geometry},
author = {Alfonso García-Parrado Gómez-Lobo},
journal= {arXiv preprint arXiv:1008.3841},
year = {2010}
}
Comments
Proof of corollary 2 extended to include hypersurfaces with null regions. Some additional considerations in section 4 dealing with hypersurfaces of arbitrary causal character added. References added, To appear in classical and quantum gravity